{"paper":{"title":"$\\mu-\\tau$ Symmetry, Nonzero $\\theta_{13}$, and CP Violation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Asan Damanik","submitted_at":"2014-01-18T16:15:15Z","abstract_excerpt":"If we impose the $\\mu-\\tau$ symmetry, as a constraint into neutrino mass matrix, one find that the Jarlskog rephasing invariant: $J_{\\rm CP}=0$ which implies that CP violation cannot be accommodated in the $\\mu-\\tau$ symmetry scheme. By introducing a small parameter $x$ that perturb the neutrino mass matrix with $\\mu-\\tau$ symmetry with trace of neutrino mass matrix remain constant, we can obtain $J_{CP}\\neq 0$ and consequently $\\theta_{13}\\neq 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4559","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}